Consider
In square ABCD, the diagonals intersect at G.
If mLAGD = a + 2b and mzABC = 2a - b, find the values of
a and b.
C

ConsiderIn Square ABCD, The Diagonals Intersect At G.If MLAGD = A + 2b And MzABC = 2a - B, Find The Values

Answers

Answer 1

Answer:

a = 54

b = 18

Step-by-step explanation:

ABCD is a square. It's diagonals AC and BD intersects at G.

Since, diagonals of a square bisects at right angles.

[tex] \therefore m\angle AGD = 90\degree [/tex]

[tex] \implies a + 2b = 90\degree [/tex]

[tex] \therefore a = 90\degree - 2b.....(1)[/tex]

Since, measure of each angle of a square is right angle.

[tex] \therefore m\angle ABC = 90\degree [/tex]

[tex] \implies 2a-b = 90\degree.......(2) [/tex]

From equations (1) & (2)

2(90° - 2b) - b = 90°

180° - 4b - b = 90°

-5b = 90° - 180°

-5b = - 90°

b = - 90°/(-5)

b = 18

Plug b = 18 in equation (1)

a = 90° - 2*18

a = 90° - 36°

a = 54


Related Questions

You spin the spinner, flip a coin, then spin the spinner again. Find the probability of the compound event.

Spinning an even number, flipping tails, then spinning an odd number.

Answers

Answer:

Step-by-step explanation:

There are nine numbers on the spinner with 4 even and 5 odd numbers. Flipping a tail is just 1/2 so

P(ETO)=(4/9)(1/2)(5/9)

P(ETO)=20/162

P(ETO)=10/81

5 of 5
Pip, Angad and Nick share some sweets in
the ratio 3:1:1. Pip gets 36 more sweets
than Nick. How many sweets are there
altogether?

Answers

Let ratio constant k
Pip: 3k
Angad: k
Nick: k
Pip gets 36 more than Nick
3k-k=36
k=18

All together:
3k+k+k
=5k
=5(18)
=90

its a angle question.

PLS HELP

Answers

OK,
this is an equilateral triangle, and by the indicators on the lines, we know the bottom angles have to be the same
we also know that angles in a triangle sum to 180
with this information we can work out the angle x

180 - 24 = 156
156/2 = 78

The answer is 78

Please answers asap i will give brainmaster

Answers

Answer:

Step-by-step explanation:

the 2nd and the 5th look good   :)

can someone please help me with this. ​

Answers

Answer:

A

Step-by-step explanation:


The area of ABC is 72 square centimeters. find area of DEF

Answers

20. because 100/5=20cm2

Answer:

800

Step-by-step explanation:

Set up your proportion first (6/20 = 72/x). Then, square 6 and 20 (36/400 = 72/x). Cross multiply and divide (36x = 28800). Divide 28800 by 36 and that gives you 800 as your answer.

Pleaseee help!!!
James’ stock dropped 2 points each day over the last 5 days.
How many points has James’ stock dropped?

Answers

Answer:

10 points

Step-by-step explanation:

since they only said 5 days and each day 2 points drop.

1 day = 2 points

5 days = 2 x 5 = 10 points

Is (5,2) a solution to this system? x+4y=13 x-y=3 *

Answers

Answer:

yes

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

x + 4y = 13

 x - y = 3              Subtracting:

0 + 4y - (-y) = 13 - 3

5y = 10

y = 2.

Plug y = 2 into the second equation:

x - 2 = 3

x = 5.

please answer this :(​

Answers

Answer:

68.9°

Step-by-step explanation:

Using Sine rule

x/sin X = y/sin Y

4.5/sin X = 4/sin 56

sin X × 4 = 4.5 × sin 56

sin X = 4.5 × sin 56/4

X = arc sin (4.5 × sin 56/4)

X = 68.85449°

Approximately = 68.9°

Please please help me answer these question thank you so much

Answers

Answer:

3. a. $4 b. 1/4 of a ticket

$4 = a pint of raspberries

1/4 of a pint

5 pints = $20

$32 = 8 pints

75 feet = 45 seconds

27 seconds = 45 feet

Can you answer plz
у = х + 3
у =-2x-3

Answers

Answer:

x = - 2, y = 1

Step-by-step explanation:

Comparing both the equations,

→ y = y → x + 3 = - 2x - 3

=> x + 3 = - 2x - 3

=> x + 2x = - 3 - 3

=> 3x = - 6

=> x = - 6/3 = - 2

Substitute the value of x in any of these:

=> y = x + 3 = - 2 + 3 = 1

Answer:

Step-by-step explanation:

If a solution exists for the system of equations y=y so we can say

x+3=-2x-3 Add 2x to each side

3x+3=-3 Subtract 3 from each side

3x=-6. Divide each side by 3

x=-2, since y=x+3

y=-2+3

y=1

So the solution to the system of equations is the point (x,y)=(-2,1)

I don’t know how to do it please help

Answers

Answer:

37.5

Step-by-step explanation:

First you have to realize that these are similar triangles.

You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.

put the smaller above the decimal and the bigger one below like this.

[tex]\frac{8}{25}[/tex]=[tex]\frac{12}{x}[/tex]

Now cross multiply

8x=300

x=37.5

Which point lies on the bisector?

Answers

Answer:

Point Y

Step-by-step explanation:

I have attached a picture of me showing which point lies on the bisector since it says to bisects <C of polygon ABCDE.

Hope this helps, thank you :) !!

Point y is the one on the bisector

additive inverse of -4/7

Answers

Answer:

1/7

Step-by-step explanation:


[tex]y = - 1(x - 0)(x - 2)[/tex]
What is the standard form of this equation?​

Answers

Answer:

Y=-x^2 -2x

Step-by-step explanation:

First distribute -1

Y=-x+0(x-2)

Foil and you get

y= x^2-2x

This is in standard form

How do I know where to put numbers on a graph

Answers

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

if u answer right ill give u brainlyist

Answers

Answer:

A

Step-by-step explanation:

'A' because it asks about pros and cons.

It would probably be D

amoni is painting a room. He used 2/3 of a gallon of paint to cover 1/4 of a wall. how much paint for the whole wall

Answers

Answer:

8/3 or 2 2/3 gallons of paint

Step-by-step explanation:

If 2/3 of paint covers 1/4 of the wall, you must multiply 2/3 by 4 to get 4/4 (the whole wall).

2/3 x 4 = 8/3 or 2 2/3

Please help this is 2 step equations even if you answer some I’ll appreciate it. I need the work though. I’ll mark you brainliest !

Answers

Multiply both sides by the denominator
Move the constant to the right
Then calculate

1: r=10
2: n= -10
3: p= -9
4: -r= -6
5: K = -4
6: n= 15

I hope you understood you can finish the rest you just need to practice more to understand
Remember multiply the denominator by both sides to remove the fraction.

You have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long. How many feet of streamers do you have left?

Answers

Answer:

48

Step-by-step explanation:

If we have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long then 48 feet of streamers we left.

What is Unit of Measurement ?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that we have a 84 feet of streamers.

You cut 24 pieces that are each 1/2 yard long.

Need to find the feet of streamers we left.

We know that 1 yard is equal to 3 feet.

Therefore, 1/2 yard is equal to 1.5 feet.

The total length of the streamers that were cut is:

24 pieces x 1.5 feet/piece = 36 feet

To find out how much streamer is left, we can subtract the length of the cut streamers from the total length we started with:

84 feet - 36 feet = 48 feet

Therefore, you have 48 feet of streamers left.

To learn more on Unit of Measurement click:

https://brainly.com/question/14026238

#SPJ2

Jamal will cut a piece of wood that is 2 1/2 feet long into 1/4 -foot sections. How many sections will result?

Answers

Answer:

10 sections

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

i converted mixed number into decimals:

2 1/2 = 2.5

1/4= .25

Then 2.5/.25= 10

one part of one hundred equal parts; 0.01.

Answers

Answer:

0.01, 1%, or 1/100

Step-by-step explanation:

These are all the same.

Help

Write a function to represent the set of ordered pairs.
{(2, -1), (4, 5), (6, 15), (8, 29)}

Answers

Step-by-step explanation:

ES6 has a new Set data structure for storing sets of unique objects. However it is based on object references as opposed to value comparisons. As far as I can tell this makes it impossible to have a set of pairs of numbers without stringifying.

For example, typing in Chrome's console (needs Chrome 38+):

> var s = new Set(); < undefined > s.add([2, 3]); < Set {[2, 3]} > s.has([2, 3]) < false <--- was hoping for 'true'

This appears to be by design: since I passed a different array of [2, 3] to has(), it returns false, because although the contents is the same it only looks at object references, and I allocated a new and different array to pass to has(). I would need to store a reference to the original array I passed to add() to check with has(), but this is not always possible. For example if the number pairs represent co-ordinates, I might need to check if the set has [obj.x, obj.y], but this will always return false since it allocates a new array.

The workaround is to stringify the arrays and key on strings like "2, 3" instead. However in something performance-sensitive like a game engine, it is unfortunate if every set access needs to make a string allocation and convert and concatenate number strings.

Does ES6 provide any feature to solve this problem without stringifying, or is there any feature on the horizon with ES7 that could help as well?

javascriptperformancedata-structuressetecmascript-6

Share

2

Follow

asked Sep 21 '14 at 13:06

AshleysBrain

20.4k1515 gold badges8181 silver badges119119 bronze badges

Add a comment

3 Answers

ActiveOldestVotes

3

As you've noted [2, 3] === [2, 3] is false, meaning you can't use Set like this; however, is Set really the best option for you?

You may find that using a two-level data structure like this will be better for you

var o = {}; function add(o, x, y) { if (!o[x]) o[x] = {}; o[x][y] = true; } function has(o, x, y) { return !!(o[x] && o[x][y]); } function del(o, x, y) { if (!o[x]) return; delete o[x][y]; // maybe delete `o[x]` if keys.length === 0

Find the number of degrees moved by the minute hand of a clock in the given amount of time. 1 1/4 hour

Answers

Answer:

450

Step-by-step explanation:

One rotation would be 360 and a quarter of 360 is 90 so 360+90=450

find the size of the lettered angles

Answers

Soh cah toa
It is con so cos-1(9/10)
Sorry I don’t have a calculator but type that equation in for your answer:)

If your test marks in your last 3 tests were: 70%, 82%, and 90%, what's your average test mark?

Answers

Answer:

80,66

Step-by-step explanation:

70 + 82 + 90 = 242

for average: you have 3 tests, so 242÷3 = 80,66667

$6.00 times 200 per day times 65.00 per day for saftey

Answers

78,000
................

HELP ME PLZZ, ASAP!!!


If two angles are both vertical and supplementary, can we determine the angles? Is it possible to be both vertical and complementary? If so, can you determine the angles? Explain how you know.

Answers

Answer:

i. Two angles can be vertical and supplementary.

ii. Yes, we can determine the angles.

Step-by-step explanation:

When two angles are vertical, it implies that they are equal (with respect to vertical opposite property). While two angles are supplementary if and only if they add up to [tex]180^{o}[/tex].

It is not mandatory for the two angles to be beside each other so as to be supplementary. So that in this special case, the only measure of angles that can be both vertical and supplementary is [tex]90^{o}[/tex].

Yes, angles that are both vertical supplementary can be determined. They can be  90° each.

Determination of Vertical Supplementary Angles

Vertical angles are opposite angles where two lines intersect. They are equal. So, angle 1 = angle 2,

A1 = A2 ...{i}

Supplementary angles are those which sum upto form 180. So, angle 1 + angle 2 = 180; i.e.

A1 + A2 = 180 ...{ii} By {i} and {ii} ,

putting i} in ii},

A1 + A1 = 180

Twice A1 = 180

A1 = [tex]\frac{180}{2}[/tex]

= 90

As,

A1 = A2,

So,

A2 is also 90°

Thus, 90° is the correct answer.

To learn more about Angles,

https://brainly.com/question/24573165?referrer=searchResults

on Monday you buy two apples and three oranges for a total of $14 on Tuesday you buy four apples and five oranges for $24 what does an apple cost and what does an orange cost? what are the two equations

Answers

Equation=2a+3b=$14
=4a+5b=$24

Multiply the first equation by 4 and the second by 2 to get the value of b....
8a+12b=56 -
8a+10b=48
2b=8
b=$4
If the price of an orange is $4 we can now find the price of an apple by
.................2a+(3*$4)=$14
............2a+12=14........2a=2
a=1
So the cost of an apple is $1 and that of an orange is $4
......Hope it helps you

How many inches are in 7 and 1/2 feet?

Answers

Answer:

90 inches

Step-by-step explanation: 7 feet*12 inches= 84 and .5 feet*12 inches= 6.

84 inches+ 6inches=90inches

Answer: 1.2ft × 12

= 14.4"

Step-by-step explanation:

GIVE ME DA BRAINS

Other Questions
Sallys mother has brown, straight hair, and her father has black, curly hair. Sally has brown, curly hair. Which process is responsible for the variation in Sallys hair type? Your grandfather has retired and is looking at the prospect of social service. Write an e mail motivating him and supporting his plans Find the equation of the line through point (5,5) and perpendicular to y=5/9x4. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 1/2). Why is Hamlets question to Ophelia about her fathers location a turning point in their conversation? How does Hamlet react to her reply? Given the following financial structure for Company S for all of 2016:Common stock, $1 par value, 800,000 shares issued and outstanding all year.Convertible preferred stock, 50,000 shares, $100 par value, 6% cumulative dividend, each share convertible into 5 shares of common stock.Convertible bonds, $500,000 face value, 8% stated rate, each $1,000 bond is convertible into 20 shares of common stock.Stock options, 100,000 options outstanding, each option convertible for one share of stock at an option price of $60 per share.Additional information:1. The convertible bonds were issued at par in 2015.2. The average market price per share for the common stock was $80 for the year.3. The income tax rate for Company S is 30 percent.4. Net income for Company S for 2016 was $$2,600,000.A. Calculate Basic EPS (carry calculations to 2 decimal places).B. Show your calculations for the numerator and denominator effect of each of the above convertible securities.C. From your calculations in Part B, complete the schedule to calculate the dilution index of each convertible security, then indicate the ranking (most dilutive = 1) of each convertible security.D. Using the indexes above to incrementally evaluate the dilutive effect, calculate diluted earnings per share in the space provided on the answer sheet. Show the DEPS calculation at each incremental stage, and carry the calculation to 2 decimal places. CIRCLE the DEPS number that would be displayed in the financials. Use of Por For each of the following sentences, select the rule that describes how the word por is being used. 1. Hablo por todas mis amigosTo show movement within, through, along, or around an area To indicate a length of timeTo signify an exchangeTo express a reason or motiveTo indicate a substantiation or an action on someones behalfTo show gratitude or express an apologyTo indicate the means of communication or mode of transport With percentages multiplication and to expose per Formal commands choose the correct formal command form to fill in each blank what is the exponent for the expression 6x6x6x6x6x6x6? Swimming Pool On a certain hot summer's day, 630 people used the public swimming pool. Thedaily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled$1170.00. How many children and how many adults swam at the public pool that day?There were children at the public pool.Enter your answer in the answer box and then click Check Answer.1 panremainingClear AllCheART Guys, please help me, I need to pass my Finals In math!! please answer these two questions with the definitions! Please please please I will mark the brainiest!!! Five times a certain number, minus 5, is equal to 7 more than three times the number. What is the number Margarita traces a circle with a radius of 20 centimeters like the one shown below. She will color in the shaded region. What is the area of the shaded region? Will give brainly. The nucleus of an atom is made up of protons and neutrons. How does the number of these particles determine the property of the atom? How does the narrator's viewpoint compare to theturtle's in this passage? PLEASEWhy don't the particles in a solid move past one another?A. They have no motion and cannot even vibrate in place.B. They don't have enough energy to overcome the attractionsbetween them.C. They bounce off the walls of their container and back into place.D. They move independently of one another. 61.3 g of dinitrogen tetraoxide will decompose into how many grams of NO2? (brainliest answer if you help with both the questions please) Solve for k.k/4 + 3 = 14k = Can you answer this question? Explain how the data from the river samples showed that there was a problem with the water treatment plant.Nitrogen - High School GizmoWILL GIVE BRAINLIEST Who ever can do this for me will be marked that Brainly thing and thanked PLS HELP!!!!!!!!!!!!!!!!